Question

The number of ways the letters of the word `COMPUTER’ can be rearranged is


a) 40,320
b) 40,319
c) 40,318
d) none of these

b) 40319 is correct Answer

Please Give Full Solution​

Answer 1

number of letters in the word

COMPUTER = 8 letters

thus ,

using permutation and combination

the number of ways the letters of the word computer can be rearranged is

= 8!

= 8×7×6×5×4×3×2×1

= 40320

thus ,

There are 40320 number of ways the letters of the word computer can be rearranged

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Answer 2

Answer:

according to n p r= n!/(n-r)!

n=8

r=8

8 p 8 =8×7×6×5×4×3×2×1

=40320

out of these the word "computer" is already included so 40320-1=40319 option B is correct